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port udivmoddi4 and __aeabi_uldivmod #25
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9505646
port udivmoddi4 and __aeabi_uldivmod
732f1e2
some targets need gcc to be installed
39ede7e
and libc6-dev
cc9d3e8
port __udivmodsi4, aeabi_uidivmod and udivsi3
0915e15
*mut T -> Option<&mut T>
a2fc4da
move return into if branches
d6be95a
note about calling convention
a84579d
refactor: use Int traits, words -> U64, fmt
3ff25d9
put div intrinsics in their own module + some docs
1c22269
don't transmute in test
eb20684
address second row of review
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Original file line number | Diff line number | Diff line change |
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@@ -0,0 +1,271 @@ | ||
use {Int, LargeInt, U64}; | ||
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/// Returns `n / d` | ||
#[no_mangle] | ||
pub extern "C" fn __udivsi3(n: u32, d: u32) -> u32 { | ||
let u32_bits = u32::bits() as u32; | ||
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// Special cases | ||
if d == 0 { | ||
panic!("Division by zero"); | ||
} | ||
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if n == 0 { | ||
return 0; | ||
} | ||
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let mut sr = d.leading_zeros().wrapping_sub(n.leading_zeros()); | ||
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// d > n | ||
if sr > u32_bits - 1 { | ||
return 0; | ||
} | ||
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// d == 1 | ||
if sr == u32_bits - 1 { | ||
return n; | ||
} | ||
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sr = sr + 1; | ||
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// 1 <= sr <= u32_bits - 1 | ||
let mut q = n << (u32_bits - sr); | ||
let mut r = n >> sr; | ||
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let mut carry = 0; | ||
for _ in 0..sr { | ||
// r:q = ((r:q) << 1) | carry | ||
r = (r << 1) | (q >> (u32_bits - 1)); | ||
q = (q << 1) | carry; | ||
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// carry = 0; | ||
// if r > d { | ||
// r -= d; | ||
// carry = 1; | ||
// } | ||
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let s = (d.wrapping_sub(r).wrapping_sub(1)) as i32 >> (u32_bits - 1); | ||
carry = (s & 1) as u32; | ||
r -= d & s as u32; | ||
} | ||
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(q << 1) | carry | ||
} | ||
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/// Returns `n / d` and sets `*rem = n % d` | ||
#[no_mangle] | ||
pub extern "C" fn __udivmodsi4(a: u32, b: u32, rem: Option<&mut u32>) -> u32 { | ||
let d = __udivsi3(a, b); | ||
if let Some(rem) = rem { | ||
*rem = a - (d * b); | ||
} | ||
return d; | ||
} | ||
|
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/// Returns `n / d` and sets `*rem = n % d` | ||
#[no_mangle] | ||
pub extern "C" fn __udivmoddi4(n: u64, d: u64, rem: Option<&mut u64>) -> u64 { | ||
let u32_bits = u32::bits() as u32; | ||
let u64_bits = u64::bits() as u32; | ||
|
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// NOTE X is unknown, K != 0 | ||
if n.high() == 0 { | ||
if d.high() == 0 { | ||
// 0 X | ||
// --- | ||
// 0 X | ||
|
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if let Some(rem) = rem { | ||
*rem = u64::from(n.low() % d.low()); | ||
} | ||
return u64::from(n.low() / d.low()); | ||
} else | ||
// d.high() != 0 | ||
{ | ||
// 0 X | ||
// --- | ||
// K X | ||
|
||
if let Some(rem) = rem { | ||
*rem = u64::from(n.low()); | ||
} | ||
return 0; | ||
}; | ||
} | ||
|
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let mut sr; | ||
let mut q = U64 { low: 0, high: 0 }; | ||
let mut r = U64 { low: 0, high: 0 }; | ||
|
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// n.high() != 0 | ||
if d.low() == 0 { | ||
if d.high() == 0 { | ||
// K X | ||
// --- | ||
// 0 0 | ||
|
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panic!("Division by zero"); | ||
} | ||
|
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// d.high() != 0 | ||
if n.low() == 0 { | ||
// K 0 | ||
// --- | ||
// K 0 | ||
|
||
if let Some(rem) = rem { | ||
*rem = U64 { | ||
low: 0, | ||
high: n.high() % d.high(), | ||
}[..]; | ||
} | ||
return u64::from(n.high() / d.high()); | ||
} | ||
|
||
// n.low() != 0 | ||
// K K | ||
// --- | ||
// K 0 | ||
|
||
if d.high().is_power_of_two() { | ||
if let Some(rem) = rem { | ||
*rem = U64 { | ||
low: n.low(), | ||
high: n.high() & (d.high() - 1), | ||
}[..]; | ||
} | ||
|
||
return u64::from(n.high() >> d.high().trailing_zeros()); | ||
} | ||
|
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sr = d.high().leading_zeros().wrapping_sub(n.high().leading_zeros()); | ||
|
||
// D > N | ||
if sr > u32_bits - 2 { | ||
if let Some(rem) = rem { | ||
*rem = n; | ||
} | ||
return 0; | ||
} | ||
|
||
sr = sr + 1; | ||
|
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// 1 <= sr <= u32_bits - 1 | ||
// q = n << (u64_bits - sr); | ||
q.low = 0; | ||
q.high = n.low() << (u32_bits - sr); | ||
// r = n >> sr | ||
r.high = n.high() >> sr; | ||
r.low = (n.high() << (u32_bits - sr)) | (n.low() >> sr); | ||
} else | ||
// d.low() != 0 | ||
{ | ||
if d.high() == 0 { | ||
// K X | ||
// --- | ||
// 0 K | ||
if d.low().is_power_of_two() { | ||
if let Some(rem) = rem { | ||
*rem = u64::from(n.low() & (d.low() - 1)); | ||
} | ||
|
||
if d.low() == 1 { | ||
return n; | ||
} else { | ||
let sr = d.low().trailing_zeros(); | ||
return U64 { | ||
low: (n.high() << (u32_bits - sr)) | (n.low() >> sr), | ||
high: n.high() >> sr, | ||
}[..]; | ||
}; | ||
} | ||
|
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sr = 1 + u32_bits + d.low().leading_zeros() - n.high().leading_zeros(); | ||
|
||
// 2 <= sr <= u64_bits - 1 | ||
// q = n << (u64_bits - sr) | ||
// r = n >> sr; | ||
if sr == u32_bits { | ||
q.low = 0; | ||
q.high = n.low(); | ||
r.high = 0; | ||
r.low = n.high(); | ||
} else if sr < u32_bits | ||
// 2 <= sr <= u32_bits - 1 | ||
{ | ||
q.low = 0; | ||
q.high = n.low() << (u32_bits - sr); | ||
r.high = n.high() >> sr; | ||
r.low = (n.high() << (u32_bits - sr)) | (n.low() >> sr); | ||
} else | ||
// u32_bits + 1 <= sr <= u64_bits - 1 | ||
{ | ||
q.low = n.low() << (u64_bits - sr); | ||
q.high = (n.high() << (u64_bits - sr)) | (n.low() >> (sr - u32_bits)); | ||
r.high = 0; | ||
r.low = n.high() >> (sr - u32_bits); | ||
} | ||
|
||
} else | ||
// d.high() != 0 | ||
{ | ||
// K X | ||
// --- | ||
// K K | ||
|
||
sr = d.high().leading_zeros().wrapping_sub(n.high().leading_zeros()); | ||
|
||
// D > N | ||
if sr > u32_bits - 1 { | ||
if let Some(rem) = rem { | ||
*rem = n; | ||
return 0; | ||
} | ||
} | ||
|
||
sr += 1; | ||
|
||
// 1 <= sr <= u32_bits | ||
// q = n << (u64_bits - sr) | ||
q.low = 0; | ||
if sr == u32_bits { | ||
q.high = n.low(); | ||
r.high = 0; | ||
r.low = n.high(); | ||
} else { | ||
q.high = n.low() << (u32_bits - sr); | ||
r.high = n.high() >> sr; | ||
r.low = (n.high() << (u32_bits - sr)) | (n.low() >> sr); | ||
} | ||
} | ||
} | ||
|
||
// Not a special case | ||
// q and r are initialized with | ||
// q = n << (u64_bits - sr) | ||
// r = n >> sr | ||
// 1 <= sr <= u64_bits - 1 | ||
let mut carry = 0; | ||
|
||
for _ in 0..sr { | ||
// r:q = ((r:q) << 1) | carry | ||
r[..] = (r[..] << 1) | (q[..] >> 63); | ||
q[..] = (q[..] << 1) | carry as u64; | ||
|
||
// carry = 0 | ||
// if r >= d { | ||
// r -= d; | ||
// carry = 1; | ||
// } | ||
|
||
let s = (d.wrapping_sub(r[..]).wrapping_sub(1)) as i64 >> (u64_bits - 1); | ||
carry = (s & 1) as u32; | ||
r[..] -= d & s as u64; | ||
} | ||
|
||
q[..] = (q[..] << 1) | carry as u64; | ||
if let Some(rem) = rem { | ||
*rem = r[..]; | ||
} | ||
q[..] | ||
} |
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A comment explaining why an asm implementation was necessary (non-standard calling convention) would be nice here.